Apple ID verification fails despite correct password

When I go to update my apps, I am prompted to put in my Apple ID password. Despite putting in the correct password, it tells me "Verification Failed - Your apple ID or password is incorrect." I know the password is correct, I can log into things like ICloud fine, and I've even signed out and signed back in on my phone multiple times. I've changed passwords multiple times to be sure the password is correct. The only time I get the verification failed message is when trying to update apps.